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Finding the Fourth Proportional to 654.65, 980.69 and 434.62

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Solution

The fourth proportional to 654.65, 980.69 and 434.62 is: 651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.65 : 980.69 = 434.62 : x
  2. Step 2: Convert to fraction form
    654.65/980.69 = 434.62/x
  3. Step 3: Cross multiply
    654.65x = 980.69 × 434.62
  4. Step 4: Simplify right side
    654.65x = 426,231.00
  5. Step 5: Solve for x
    x = 426,231.00/654.65
  6. Step 6: Final answer
    x = 651.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.